Landau-Lifshitz theory of the longitudinal spin Seebeck effect

Silas Hoffman, Koji Sato, Yaroslav Tserkovnyak

Research output: Contribution to journalArticlepeer-review

137 Citations (Scopus)


Thermal-bias-induced spin angular momentum transfer between a paramagnetic metal and ferromagnetic insulator is studied theoretically based on the stochastic Landau-Lifshitz-Gilbert (LLG) phenomenology. Magnons in the ferromagnet establish a nonequilibrium steady state by equilibrating with phonons via bulk Gilbert damping and electrons in the paramagnet via spin pumping, according to the fluctuation-dissipation theorem. Subthermal magnons and the associated spin currents are treated classically, while the appropriate quantum crossover is imposed on high-frequency magnetic fluctuations. We identify several length scales in the ferromagnet, which govern qualitative changes in the dependence of the thermally induced spin current on the magnetic film thickness.

Original languageEnglish
Article number064408
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
Publication statusPublished - 2013 Aug 12

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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